Class 12Mathematics3 and 4 .Determinants and MatricesExpansion of determinants, Solution of equation in the form of determinants and area of triangle and Equation of Line
EasyIf $\left| \begin{array}{ccc} a & b & 0 \\ 0 & a & b \\ b & 0 & a \end{array} \right| = 0$,then
- A$a$ is one of the cube roots of unity
- B$b$ is one of the cube roots of unity
- C$\left( \frac{a}{b} \right)$ is one of the cube roots of unity
- D$\left( \frac{a}{b} \right)$ is one of the cube roots of $-1$
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Similar Questions
The area of the triangle formed by the points $(a, b + c)$,$(b, c + a)$,and $(c, a + b)$ is:
The value of the determinant $\left| \begin{array}{ccc} 1 & 1 & 1 \\ 1 & 1-x & 1 \\ 1 & 1 & 1+y \end{array} \right|$ is
Medium
View Solution$\left|\begin{array}{lll}24 & 25 & 26 \\ 25 & 26 & 27 \\ 26 & 27 & 27\end{array}\right|$ is equal to
What is the area of the triangle with vertices $(4, 4)$,$(3, -2)$,and $(3, -16)$?
Easy
View SolutionIf $f(x) = \left|\begin{array}{ccc} 1 & x & x+1 \\ 2x & x(x-1) & x(x+1) \\ 3x(x-1) & x(x-1)(x-2) & (x-1)x(x+1) \end{array}\right|$, then $f(2012)$ is equal to:
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